Finding the Third Proportional to 5,091 and 10,299

Step by Step Solution

1. Step 1: Write the proportion equation
   5,091 : 10,299 = 10,299 : x
2. Step 2: Convert to fraction form
   5,091/10,299 = 10,299/x
3. Step 3: Cross multiply
   5,091x = 10,299 × 10,299
4. Step 4: Simplify right side
   5,091x = 106,069,401
5. Step 5: Solve for x
   x = 106,069,401/5,091
6. Step 6: Final answer
   x = 20,834.69